Lesson 12 of 14
The big picture
Show on a big screenThe kabaddi question is answered: 5 rounds. Here are all ten ideas, in order.
| Idea | Remember | Example |
|---|---|---|
| Short writing | The base is multiplied. The exponent counts. | 2⁵ = 32 |
| Two multiplied | Counts add. The base stays. | 2³ × 2⁴ = 2⁷ |
| Two divided | Counts subtract. | 3⁵ ÷ 3² = 3³ |
| One on another | Counts multiply. | (2³)² = 2⁶ |
| Ladder to zero | Any base except 0, to the power 0, is 1. | 10⁰ = 1 |
| Powers of ten | Each column is one power higher. | 4,073 = 4×10³ + 0×10² + 7×10¹ + 3×10⁰ |
| Standard form | Leading part from 1 to below 10. | 4.5 × 10⁶ |
| Which is larger | Work both out when nothing matches. | 2¹⁰ beats 10³ |
| Below zero | Each step down divides by the base. A count of −2 divides 1 by the base twice. | 7⁻² = 1/49 |
| Small numbers | Move the point right. Stop when x is from 1 to below 10. If it moved k places, the exponent is −k. | 0.0032 = 3.2 × 10⁻³ |
Now open Part I, Chapter 2, Power Play. You have used every one of these.